PES SS 1 Further Math Term 1 Test 3
  • 1. 1.Which of the following expressions is equivalent to x³×x⁴?
A) X-¹
B) X⁷
C) X³+⁴
D) X¹²
  • 2. 2 Simplify x⁶/x²
A) x³
B) x-⁴
C) x⁴
D) x⁸
  • 3. 3 Which expression represents (x⁴)³?
A) x¹
B) x⁷
C) x⁴³
D) x¹²
  • 4. 4 Simplify x−³×x⁵
A) x²
B) x-¹⁵
C) x⁸
D) x-²
  • 5. 5 Which expression is equivalent to (2³)⁴?
A) 2²⁴
B) 2¹²
C) 2³⁴
D) 2⁷
  • 6. 6 If log⁡2(8)=3, then 2³ equals:
A) 16
B) 8
C) 4
D) 6
  • 7. 7 Simplify (x²y³)²
A) x⁵y⁶
B) x²y⁹
C) x⁴y⁶
D) x⁴y⁵
  • 8. 8. If xn=1, what must be true about n?
A) n can be any number
B) n must be negatice
C) n must be positive
D) n must be zero
  • 9. 9. If a¹=n, then?
A) Log 1 base a =n
B) Log n base a =1
C) Log a base n=1
D) an=1
  • 10. 10. Surds are?
A) Portal numbers
B) Irrational numbers
C) Rational numbers
D) Cardinal numbers
  • 11. 11. √(m/n) equals?
A) √m/√n
B) √m ÷ n
C) √m × √n
D) 1/√n × √m
  • 12. 12. Simplify √75
A) 9√2
B) 5√3
C) 3√5
D) 6√7
  • 13. 13. Simplify √80
A) 3√2
B) 4√5
C) 5√4
D) 5√3
  • 14. 14. Similar surds are?
A) Surds that have the same roots
B) Surds that cannot be decided by each other
C) Surds that have the same number.
D) Surds that don't have square root
  • 15. 15. Which of the following surds cannot be rationalized?
A) √3/2
B) √3/√2
C) 2/√3
D) 2/√2
  • 16. 16. The conjugate of a+√b is?
A) √a+√b
B) a-√b
C) a²-b
D) √b+a
  • 17. 17. A binary operations combines?
A) Not specified
B) One element
C) Two elements
D) No element
  • 18. 18. A binary operations is commutative, if?
A) a+b=a-b
B) a×b=a×b
C) a*b=b*a
D) Null
  • 19. 19. A binary operation is associative, if?
A) c*a=a*b
B) a*b*c=a*c
C) a*b=a*(b*c)
D) (a*b)*c=a*(b*c)
  • 20. 20. The element which leaves other elements unchanged when used in a binary operation is called?
A) Closure element
B) Identity element
C) Zero element
D) Inverse
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